Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1986-04-30
Non-Negative Trigonometric Polynomials with ConstraintsStephan Ruscheweyh (1) Universität Würzburg, Germany
We discuss extremal problems for non-negative trigonometric polynomials with prescribed zeros. The general result is used to refine a former theorem of Fejér concerning upper bounds of those polynomials near to a zero. Another application deals with the coefficient problem for typically real (algebraic) polynomials.
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Ruscheweyh Stephan: Non-Negative Trigonometric Polynomials with Constraints. Z. Anal. Anwend. 5 (1986), 169-177. doi: 10.4171/ZAA/191